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Finding the Fourth Proportional to 415,665.26, 623,494.13 and 131,355.86

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Solution

The fourth proportional to 415,665.26, 623,494.13 and 131,355.86 is: 197,032.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    415,665.26 : 623,494.13 = 131,355.86 : x
  2. Step 2: Convert to fraction form
    415,665.26/623,494.13 = 131,355.86/x
  3. Step 3: Cross multiply
    415,665.26x = 623,494.13 × 131,355.86
  4. Step 4: Simplify right side
    415,665.26x = 81,899,603,876.85
  5. Step 5: Solve for x
    x = 81,899,603,876.85/415,665.26
  6. Step 6: Final answer
    x = 197,032.60

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.